can the algorithm cost be negative?

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I was reading an article and I've found the graph below that represents the algorithm cost, and I was wondering if the values are representing the algorithm cost why they are negative? and what are they referring to ? I also would like to know the algorithm cost is calculated according to what and why the each value has a sort of a min and max value ? Thank you.

Update: here is the link for the paper: Real-Time Planning as Decision-Making under Uncertainty

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